Results 11 to 20 of about 11,347 (297)
Trees meet octahedron comparison [PDF]
We show that metric trees and their products meet the octahedron comparison, which is a certain six-point metric comparison similar to Alexandrov’s CAT(0) comparison.
Nina Lebedeva, Anton Petrunin
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The Octahedron Abstract Domain [PDF]
An interesting area in static analysis is the study of numeric properties. Complex properties can be analyzed using abstract interpretation, provided that an adequate abstract domain is defined. Each domain can represent and manipulate a family of properties, providing a different trade-off between the precision and complexity of the analysis.
Robert Clarisó, Jordi Cortadella
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Octahedron Subgroups and Subrings [PDF]
In this paper, we define the notions of i-octahedron groupoid and i-OLI [resp., i-ORI and i-OI], and study some of their properties and give some examples. Also we deal with some properties for the image and the preimage of i-octahedron groupoids [resp.,
Jeong-Gon Lee, Young Bae Jun, Kul Hur
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Birational Rowmotion and the Octahedron Recurrence [PDF]
We use the octahedron recurrence to give a simplified statement and proof of a formula for iterated birational rowmotion on a product of two chains, first described by Musiker and Roby. Using this, we show that weights of certain chains in rectangles shift in a predictable way under the action of rowmotion.
Joseph Johnson, Ricky Ini Liu
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The octahedron recurrence and gl(n) crystals [PDF]
We study the hive model of gl(n) tensor products, following Knutson, Tao, and Woodward. We define a coboundary category where the tensor product is given by hives and where the associator and commutor are defined using a modified octahedron recurrence. We then prove that this category is equivalent to the category of crystals for the Lie algebra gl(n).
André Henriques, Joel Kamnitzer
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Effect of octahedron tilt on the structure and magnetic properties of bismuth ferrite [PDF]
Multiferroic BiFeO3-based ceramics were synthesized using the rapid liquid-phase sintering method. The rare-earth ion (Sm3+, Gd3+, Y3+) doping causes structural distortion without changing the intrinsic rhombohedral perovskite structure.
Yang Hong +5 more
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Octahedron — Pauli Matrices Relation
The octahedron is a geometric shape that has connections to complex numbers and quantum mechanics. One way to see this is by looking at the corners of the octahedron, which can be matched with the Pauli matrices. These are 2x2 matrices with complex numbers that are important for quantum spin.
Pavel Cherkashin
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Effect of Different Parameters on Raman Scattering Released from Nb2O5 Nanostructures Prepared via PLD Technique [PDF]
Due to the significance of Nb2O5 as a promising industrial and biomedical material and the importance of Raman analyses to identify nanostructural molecular responsivity for various applications, this study aims to investigate Nb2O5 molecular bands that ...
Evan Salim +3 more
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